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Moscow University Mathematics Bulletin

, Volume 66, Issue 3, pp 93–100 | Cite as

Possibility to strengthen the Lieb-Thirring inequality for systems of functions of special type

  • D. S. Barsegyan
Article
  • 31 Downloads

Abstract

A strengthening of the Lieb-Thirring inequality for systems of functions of special type is proved by the standard Fourier technique.

Keywords

Analysis Problem Previous Calculation Sobolev Inequality Normed System Absolute Constant 
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References

  1. 1.
    E. Lieb and W. Thirring, “Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities,” in Stud. Math. Phys., Essays in Honor of Valentine Bargmann (Princeton Univ. Press, Princeton 1976), pp. 269–303.Google Scholar
  2. 2.
    B. S. Kashin, “On a Class of Inequalities for Orthonormal Systems,” Matem. Zametki 80(2), 204 (2006) [Math. Notes 80 (1–2), 199 (2006)]MathSciNetGoogle Scholar
  3. 3.
    S. V. Astashkin, “Lieb-Thirring Inequality for L p Norms,” Matem. Zametki 83(2), 163 (2008) [Math. Notes 83 (1–2), 145 (2008)].MathSciNetGoogle Scholar
  4. 4.
    D. S. Barsegyan, “On Inequalities of Lieb-Thirring Type,” Matem. Zametki 82(4), 503 (2007) [Math. Notes 82 (3–4), 451 (2007)].Google Scholar
  5. 5.
    D. S. Barsegyan, “On the Possibility of Strengthening the Lieb-Thirring Inequality,” Matem. Zametki 86(6), 803 (2009) [Math. Notes 86 (5–6), 753 (2009)].MathSciNetGoogle Scholar
  6. 6.
    B. S. Kashin and A. A. Saakyan, Orthogonal Series (AFC, Moscow, 1999; Amer. Math. Soc, 2005).zbMATHGoogle Scholar
  7. 7.
    S. M. Nikol’skii, Approximation of Functions of Several Variables and Embedding Theorems (Nauka, Moscow, 1977; Springer, Berlin, 1975).Google Scholar

Copyright information

© Allerton Press, Inc. 2011

Authors and Affiliations

  • D. S. Barsegyan
    • 1
  1. 1.Faculty of Mechanics and MathematicsMoscow State UniversityLeninskie Gory, MoscowRussia

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